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Finite quantum groups and quantum permutation groups

✍ Scribed by Teodor Banica; Julien Bichon; Sonia Natale


Book ID
113421929
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
189 KB
Volume
229
Category
Article
ISSN
0001-8708

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We consider a class of Hopf algebras having as an invariant a generalized Cartan matrix. For a Hopf algebra of this kind, we prove that it is finite dimensional if and only if its generalized Cartan matrix is actually a finite Cartan matrix (under some mild hypothesis). These results allow us to cla